Abstract

The aim of the present investigation is framing the effect of thermal radiation and slip on a magnetohydrodynamic (MHD) Casson nanofluid flow over a stretching surface under the influence of variable viscosity and convective boundary condition. First, non-dimensionally developed boundary layer equations are deduced with suitable transformations. Then they are solved numerically by the Runge–Kutta–Fehlberg method with the shooting technique for different values of parameters. The most relevant result of the present study is the fact that the augmented magnetic field strength, Casson fluid parameter, and the inclined angle undermine the flow velocity, establishing thinner hydrodynamics boundary layer, while the thermal slip and radiation parameters show the opposite trend. Another most important outcome is the fact that increase in the Prandtl number, radiation, viscosity, thermal slip, and radiation upsurges the fluid temperature, leading to improvement in the thermal boundary layer. The effects of different natural parameters on the skin friction coefficient and the Nusselt and Sherwood numbers are examined graphically. For a limiting case of the present model, the obtained solution was found to be in excellent agreement with the existing literature.

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